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Finding the Fourth Proportional to 27,685.71, 38,206.35 and 15,110.46

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Solution

The fourth proportional to 27,685.71, 38,206.35 and 15,110.46 is: 20,852.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,685.71 : 38,206.35 = 15,110.46 : x
  2. Step 2: Convert to fraction form
    27,685.71/38,206.35 = 15,110.46/x
  3. Step 3: Cross multiply
    27,685.71x = 38,206.35 × 15,110.46
  4. Step 4: Simplify right side
    27,685.71x = 577,315,523.42
  5. Step 5: Solve for x
    x = 577,315,523.42/27,685.71
  6. Step 6: Final answer
    x = 20,852.47

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.